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Finding the Fourth Proportional to 564,350.40, 778,825.92 and 309,710.72

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Solution

The fourth proportional to 564,350.40, 778,825.92 and 309,710.72 is: 427,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,350.40 : 778,825.92 = 309,710.72 : x
  2. Step 2: Convert to fraction form
    564,350.40/778,825.92 = 309,710.72/x
  3. Step 3: Cross multiply
    564,350.40x = 778,825.92 × 309,710.72
  4. Step 4: Simplify right side
    564,350.40x = 241,210,736,437.86
  5. Step 5: Solve for x
    x = 241,210,736,437.86/564,350.40
  6. Step 6: Final answer
    x = 427,413.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.